Finding the Third Proportional to 102,323.50 and 221,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,323.50 : 221,461.50 = 221,461.50 : x
2. Step 2: Convert to fraction form
   102,323.50/221,461.50 = 221,461.50/x
3. Step 3: Cross multiply
   102,323.50x = 221,461.50 × 221,461.50
4. Step 4: Simplify right side
   102,323.50x = 49,045,195,982.25
5. Step 5: Solve for x
   x = 49,045,195,982.25/102,323.50
6. Step 6: Final answer
   x = 479,315.07